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 A220562 T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly one horizontal or antidiagonal neighbor 12
 1, 2, 1, 3, 5, 1, 5, 14, 13, 1, 8, 47, 64, 34, 1, 13, 149, 430, 292, 89, 1, 21, 481, 2604, 3966, 1332, 233, 1, 34, 1544, 16310, 45966, 36640, 6076, 610, 1, 55, 4965, 101052, 561636, 810778, 338581, 27716, 1597, 1, 89, 15957, 628269, 6743873, 19333688, 14298089 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .1.....2........3............5...............8..................13 .1.....5.......14...........47.............149.................481 .1....13.......64..........430............2604...............16310 .1....34......292.........3966...........45966..............561636 .1....89.....1332........36640..........810778............19333688 .1...233.....6076.......338581........14298089...........665748170 .1...610....27716......3128843.......252139015.........22926570957 .1..1597...126428.....28913910......4446314533........789539775889 .1..4181...576708....267196106.....78407942556......27190037181789 .1.10946..2630684...2469184016...1382674335890.....936366170726784 .1.28657.12000004..22817958901..24382584703194...32246430390993213 .1.75025.54738652.210862878471.429971411669361.1110497486239608510 LINKS R. H. Hardin, Table of n, a(n) for n = 1..337 EXAMPLE Some solutions for n=3 k=4 0=self 3=ne 4=w 6=e 7=sw (reciprocal directions total 10) ..0..0..0..0....0..6..4..0....0..7..6..4....0..7..6..4....6..4..0..0 ..0..7..6..4....6..4..7..0....3..0..0..0....3..0..0..7....6..4..7..7 ..3..6..4..0....0..3..0..0....0..0..0..0....0..0..3..0....0..3..3..0 CROSSREFS Column 2 is A001519(n+1) Column 3 is A060801 Row 1 is A000045(n+1) Sequence in context: A173588 A286942 A125076 * A215564 A189449 A239286 Adjacent sequences: A220559 A220560 A220561 * A220563 A220564 A220565 KEYWORD nonn,tabl AUTHOR R. H. Hardin Dec 16 2012 STATUS approved

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Last modified November 30 12:02 EST 2023. Contains 367460 sequences. (Running on oeis4.)